Remember partial fractions:
Now see if you have a telescoping series. By the way this is a series not a Riemann sum.
Evaluate the following: Riemann Sum k=2 to infinity, 2/(k^2 -1)
I'm not really sure where to begin...I rearranged the equation to -2/( 1 - k^2) and used the Maclaurin Series for 1/(1 - x) to obtain -2 * k^(2n). Interval of convergence for k is -1 < k < 1. Now I'm stuck as to how to evaluate it.